Divisions of fractions  4 1/2 divided by 1 3/4

To divide mixed numbers, we first convert them into improper fractions and then proceed with the division.

1. **Convert mixed numbers to improper fractions:**
   - \( 4 \frac{1}{2} = \frac{9}{2} \) 
   - \( 1 \frac{3}{4} = \frac{7}{4} \)

2. **Division of fractions:**
   To divide fractions, multiply the first fraction by the reciprocal (inverse) of the second fraction:
   \[
   \frac{9}{2} \div \frac{7}{4} = \frac{9}{2} \times \frac{4}{7} 
   \]

3. **Multiply the numerators and denominators:**
   \[
   \frac{9 \times 4}{2 \times 7} = \frac{36}{14}
   \]

4. **Simplify the fraction:**
   \[
   \frac{36}{14} = \frac{18}{7}
   \]

5. **Convert the improper fraction back to a mixed number:**
   \[
   \frac{18}{7} = 2 \frac{4}{7}
   \]

So, \( 4 \frac{1}{2} \div 1 \frac{3}{4} = 2 \frac{4}{7} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you multiply two fractions?
2. How do you add or subtract mixed numbers?
3. What is the difference between an improper fraction and a mixed number?
4. How do you convert a decimal to a fraction?
5. How do you simplify fractions?

**Tip:** Always remember to convert mixed numbers to improper fractions before performing division or multiplication.

Divisions of fractions 4 1/2 divided by 1 3/4

Learn how to divide mixed numbers with this example: 4 1/2 ÷ 1 3/4. This step-by-step guide walks you through converting mixed numbers to improper fractions, performing the division, and simplifying the result. Perfect for students in Grades 5-7.

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